Smita04 wrote:
In the xy-plane, is the slope of line L greater than the slope of line K?
(1) L passes through (5, 0) and K passes through (-5, 0).
(2) L and K intersect with each other in the 2nd quadrant.
Answer is E, not C as everyone stated above.
Note that: a steeper incline indicates a higher absolute value of the slope.Obviously each statement alone is not sufficient. When taken together, we can have 2 cases:
Attachment:
The slope of K is greater than that of L.png
You can see that the slope of K (blue) is greater than that of L (red): 2>-1;
Attachment:
The slope of K is less than that of L.png
In this case the slope of K (blue) is less than that of L (red): -8<-1/2. Here, both lines have negative slopes. Line K is steeper than line L, which indicates that the absolute value of its slope is greater than that of line L, since slopes are negative, then slope of K is "more negative" (so less) than slope of L.
Answer: E.
Check Coordinate Geometry chapter of Math Book for more on this topic:
math-coordinate-geometry-87652.htmlSimilar questions to practice:
if-the-slopes-of-the-line-l1-and-l2-are-of-the-same-sign-is-126759.htmlslopes-of-m-and-n-124025.htmlline-n-and-p-lie-in-the-xy-plane-is-the-slope-of-the-line-30553.htmllines-n-and-p-lie-in-the-xy-plane-is-the-slope-of-line-n-97007.htmlHope it helps.
I think when we follow graphs we might miss some of the cases, i think it is better to solve by algebra? am i correct?